The Classical Moment Problem, 1965. ,
An introduction to multivariate statistical analysis, 1958. ,
Central limit theorems for eigenvalues in a spiked population model, Annales de l'Institut Henri Poincaré-Probabilités et Statistiques, pp.447-474, 2008. ,
DOI : 10.1214/07-AIHP118
URL : https://hal.archives-ouvertes.fr/hal-00129331
No eigenvalues outside the support of the limiting spectral distribution of largedimensional sample covariance matrices, Annals of Probability, vol.26, issue.1, pp.316-345, 1998. ,
Exact separation of eigenvalues of large dimensional sample covariance matrices, Annals of Probability, vol.27, issue.3, pp.1536-1555, 1999. ,
Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices, The Annals of Probability, vol.33, issue.5, pp.1643-1697, 2005. ,
DOI : 10.1214/009117905000000233
Eigenvalues of large sample covariance matrices of spiked population models, Journal of Multivariate Analysis, vol.97, issue.6, pp.1382-1408, 2006. ,
DOI : 10.1016/j.jmva.2005.08.003
Fluctuations of the Extreme Eigenvalues of Finite Rank Deformations of Random Matrices, Electronic Journal of Probability, vol.16, issue.0, 2010. ,
DOI : 10.1214/EJP.v16-929
URL : https://hal.archives-ouvertes.fr/hal-00659338
The eigenvalues and eigenvectors of finite, low rank perturbations of large random matrices, Advances in Mathematics, vol.227, issue.1, 2011. ,
DOI : 10.1016/j.aim.2011.02.007
URL : https://hal.archives-ouvertes.fr/hal-00423593
Performance of Statistical Tests for Single-Source Detection Using Random Matrix Theory, IEEE Transactions on Information Theory, vol.57, issue.4, pp.2400-2419, 2011. ,
DOI : 10.1109/TIT.2011.2111710
URL : https://hal.archives-ouvertes.fr/hal-00421980
Strong asymptotic freeness for Wigner and Wishart matrices, Indiana University Mathematics Journal, vol.56, issue.2, pp.295-309, 2007. ,
DOI : 10.1512/iumj.2007.56.2886
URL : https://hal.archives-ouvertes.fr/hal-00004770
An inequality for the multivariate normal distribution, Journal of Multivariate Analysis, vol.12, issue.2, pp.306-315, 1982. ,
DOI : 10.1016/0047-259X(82)90022-7
Capacity scaling in MIMO wireless systems under correlated fading, IEEE Transactions on Information Theory, vol.48, issue.3, pp.637-650, 2002. ,
DOI : 10.1109/18.985982
Local operator theory, random matrices and Banach spaces. Handbook of the geometry of Banach spaces, pp.317-366, 2001. ,
Analysis of the limiting spectral distribution of large dimensional information-plus-noise type matrices, Journal of Multivariate Analysis, vol.98, issue.6, pp.1099-1122, 2007. ,
DOI : 10.1016/j.jmva.2006.12.005
On the empirical distribution of eigenvalues of large dimensional information-plus-noise-type matrices, Journal of Multivariate Analysis, vol.98, issue.4, pp.678-694, 2007. ,
DOI : 10.1016/j.jmva.2006.09.006
On the Capacity Achieving Covariance Matrix for Rician MIMO Channels: An Asymptotic Approach, IEEE Transactions on Information Theory, vol.56, issue.3, pp.1048-1069, 2010. ,
DOI : 10.1109/TIT.2009.2039063
URL : https://hal.archives-ouvertes.fr/hal-00180897
Spectrum estimation for large dimensional covariance matrices using random matrix theory, The Annals of Statistics, vol.36, issue.6, pp.2757-2790, 2008. ,
DOI : 10.1214/07-AOS581
Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators, Proceedings of the National Academy of Sciences, vol.37, issue.11, p.760, 1951. ,
DOI : 10.1073/pnas.37.11.760
Theory of stochastic canonical equations, of Mathematics and its Applications, 2001. ,
DOI : 10.1007/978-94-010-0989-8
An introduction to statistical analysis of random arrays, 1998. ,
)) is not a group, Annals of Mathematics, vol.162, issue.2, p.711, 2005. ,
DOI : 10.4007/annals.2005.162.711
Deterministic equivalents for certain functionals of large random matrices, The Annals of Applied Probability, vol.17, issue.3, pp.875-930, 2007. ,
DOI : 10.1214/105051606000000925
URL : https://hal.archives-ouvertes.fr/hal-00014668
On bilinear forms based on the resolvent of large random matrices. To appear in Annales de l'Institut Henri Poincaré, Probabilités et statistiques, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00474126
A subspace estimator for fixed rank perturbations of large random matrices. submitted, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00598826
The estimation of frequency, Journal of Applied Probability, vol.8, issue.03, pp.510-519, 1973. ,
DOI : 10.1093/biomet/58.1.21
Distributions of Matrix Variates and Latent Roots Derived from Normal Samples, The Annals of Mathematical Statistics, vol.35, issue.2, pp.475-501, 1964. ,
DOI : 10.1214/aoms/1177703550
components analysis, The Annals of Statistics, vol.29, issue.2, pp.295-327, 2001. ,
DOI : 10.1214/aos/1009210544
The markov moment problem and extremal problems. translations of mathematical monographs 50, 1977. ,
Non-Parametric Detection of the Number of Signals: Hypothesis Testing and Random Matrix Theory, IEEE Transactions on Signal Processing, vol.57, issue.10, pp.3930-3941, 2009. ,
DOI : 10.1109/TSP.2009.2022897
DISTRIBUTION OF EIGENVALUES FOR SOME SETS OF RANDOM MATRICES, Mathematics of the USSR-Sbornik, vol.1, issue.4, p.457, 1967. ,
DOI : 10.1070/SM1967v001n04ABEH001994
MIMO Capacity Through Correlated Channels in the Presence of Correlated Interferers and Noise: A (Not So) Large N Analysis, IEEE Transactions on Information Theory, vol.49, issue.10, pp.492545-2561, 2003. ,
DOI : 10.1109/TIT.2003.817427
Aspects of multivariate statistical theory, 1982. ,
DOI : 10.1002/9780470316559
Sample Eigenvalue Based Detection of High-Dimensional Signals in White Noise Using Relatively Few Samples, IEEE Transactions on Signal Processing, vol.56, issue.7, pp.2625-2638, 2008. ,
DOI : 10.1109/TSP.2008.917356
Nonparametric Detection of Signals by Information Theoretic Criteria: Performance Analysis and an Improved Estimator, IEEE Transactions on Signal Processing, vol.58, issue.5, pp.2746-2756, 2010. ,
DOI : 10.1109/TSP.2010.2042481
Functionals and the random-force method in turbulence theory(euler velocity field described by random forces method, using lagrangian representation of turbulence), Soviet Physics-JETP, vol.20, pp.1290-1294, 1965. ,
A Simple Approach to the Global Regime of Gaussian Ensembles of Random Matrices, Ukrainian Mathematical Journal, vol.9, issue.6, pp.936-966, 2005. ,
DOI : 10.1007/s11253-005-0241-4
Multiple emitter location and signal parameter estimation, IEEE Transactions on Antennas and Propagation, vol.34, issue.3, pp.276-280, 1986. ,
DOI : 10.1109/TAP.1986.1143830
Strong Convergence of the Empirical Distribution of Eigenvalues of Large Dimensional Random Matrices, Journal of Multivariate Analysis, vol.55, issue.2, pp.331-339, 1995. ,
DOI : 10.1006/jmva.1995.1083
Analysis of the Limiting Spectral Distribution of Large Dimensional Random Matrices, Journal of Multivariate Analysis, vol.54, issue.2, pp.175-192, 1995. ,
DOI : 10.1006/jmva.1995.1058
Signal detection via spectral theory of large dimensional random matrices, IEEE Transactions on Signal Processing, vol.40, issue.8, pp.2100-2105, 1992. ,
DOI : 10.1109/78.149981
MUSIC, maximum likelihood, and Cramer-Rao bound, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.37, issue.5, pp.720-741, 1989. ,
DOI : 10.1109/29.17564
Capacity of Multi-antenna Gaussian Channels, European transactions on telecommunications, pp.585-595, 1999. ,
DOI : 10.1002/ett.4460100604
Randverteilungen analytischer Funktionen und Distributionen, Mathematische Zeitschrift, vol.60, issue.1, pp.61-83, 1953. ,
DOI : 10.1007/BF01180242
Linear multiuser receivers: effective interference, effective bandwidth and user capacity, IEEE Transactions on Information Theory, vol.45, issue.2, pp.641-657, 1999. ,
DOI : 10.1109/18.749008
The threshold effect in signal processing algorithms which use an estimated subspace, 1991. ,
Spectral efficiency of CDMA with random spreading, IEEE Transactions on Information Theory, vol.45, issue.2, pp.622-640, 1999. ,
DOI : 10.1109/18.749007
On the Distribution of the Roots of Certain Symmetric Matrices, The Annals of Mathematics, vol.67, issue.2, pp.325-327, 1958. ,
DOI : 10.2307/1970008
Improved Estimation of Eigenvalues and Eigenvectors of Covariance Matrices Using Their Sample Estimates, IEEE Transactions on Information Theory, vol.54, issue.11, pp.5113-5129, 2008. ,
DOI : 10.1109/TIT.2008.929938
On the Asymptotic Behavior of the Sample Estimates of Eigenvalues and Eigenvectors of Covariance Matrices, IEEE Transactions on Signal Processing, vol.56, issue.11, pp.5353-5368, 2008. ,
DOI : 10.1109/TSP.2008.929662
Modified Subspace Algorithms for DoA Estimation With Large Arrays, IEEE Transactions on Signal Processing, vol.56, issue.2, p.598, 2008. ,
DOI : 10.1109/TSP.2007.907884